Mick Fleetwood Blues Band
 

From Mick's Twitter- he's playing with his Blues Band in Colorado this September. Looks like Fleetwood Mac activity is off the cards this year.

https://pbs.twimg.com/media/Cix2eWBVEAAExMs.jpg

"Little Freddie King"? Is that Freddie King's son? King Sr. was the guy who had a major influence on Christine McVie. King's piano player, Sonny Thompson, was Christine's inspiration to learn how to play the blues on piano.

They aren't/weren't related.
I think another of Christines big influences was Fats Domino.